Acceleration in integro-differential combustion equations
Analysis of PDEs
2021-05-24 v1
Abstract
We study acceleration phenomena in monostable integro-differential equations with ignition nonlinearity. Our results cover fractional Laplace operators and standard convolutions in a unified way, which is also a contribution of this paper. To achieve this, we construct a sub-solution that captures the expected dynamics of the accelerating solution, and this is here the main difficulty. This study involves the flattening effect occurring in accelerated propagation phenomena.
Cite
@article{arxiv.2105.09946,
title = {Acceleration in integro-differential combustion equations},
author = {Emeric Bouin and Jérôme Coville and Guillaume Legendre},
journal= {arXiv preprint arXiv:2105.09946},
year = {2021}
}
Comments
Version 0. Changes to come. arXiv admin note: substantial text overlap with arXiv:2105.09911